Some Observations on the 3x+1 Problem (original) (raw)

The 3x+1 problem: An annotated bibliography (1963--1999)

Jeffrey Lagarias

2003

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The 3x+ 1 Problem: An Annotated Bibliography, II (2000-2009)

Jeffrey Lagarias

Arxiv preprint math/0608208, 2006

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The 3x+1 Problem: An Overview

Jeffrey Lagarias

Cornell University - arXiv, 2021

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3x + 1 Problem Annotated Bibliography

Jeffrey Lagarias

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The 3x+ 1 problem: An annotated bibliography (1963--1999)(sorted by author)

Jeffrey Lagarias

Arxiv preprint math/0309224, 2003

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Is a solution to the 3x + 1 problem in sight?

Peter Schorer

SIGACT news, 1997

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The 3x+1 Problem as a String Rewriting System

Joseph Sinyor

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A Binomial Representation of the 3x + 1 problem

Yuri Matiyasevich, Maurice Margenstern

ACTA ARITHMETICA-WARSZAWA-, 1999

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The 3 x + 1 Problem : An Annotated Bibliography ( 1963 – 2000 )

Jeffrey Lagarias

2006

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The Structure of the 3x + 1 Function: An Introduction

Peter Schorer

1995

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On the 3x+1 conjecture

Peter Hellekalek

arXiv (Cornell University), 2016

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The proof of 3x+1 problem

IOSR Journals

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The algorithmic structure of the finite stopping time behavior of the 3x + 1 function

Mike Winkler, Ph.D.

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3n+1 Problem and its Dynamics

Bishnu Hari Subedi

Nepal Journal of Mathematical Sciences

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A Simple binary analysis of the Collatz Conjecture

Daniele Grosso

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A new inherent approach to solving the Collatz 3n+1 problem and its analogues

Mikhail Bokiy

Preprint, 2025

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Proving and Proof of 3n + 1 or Collatz Conjecture: The Traps, an Analysis and a Flowchart and Their ID (Identification

Ismael T Fortunado

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Novel Theorems and Algorithms Relating to the Collatz Conjecture

Peter Shiue

International Journal of Mathematics and Mathematical Sciences

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Deterministic Primality Test for Numbers of the Form A2.3n + 1, n ≥ 3 Odd

Pedro J Berrizbeitia

Proceedings of the American Mathematical Society, 2002

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Integer Complexity: Experimental and Analytical Results II

Mārtiņš Opmanis

Lecture Notes in Computer Science, 2015

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The Collatz Conjecture: Bridging Mathematics and Computational Exploration with Python

Robert Kosova

2023

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Density bounds for the 3x+13x+13x+1 problem. I. Tree-search method

Jeffrey Lagarias

Mathematics of Computation, 1995

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An algorithm for prime numbers311

Soleiman Abdollahee

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On the Foundations of the Theory of a new Collatz Based Number System

Michael A Idowu

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Solution to the Collatz Conjecture

Samuel Ferrer Colás

Solution to the Collatz Conjecture

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Reformulating Collatz Conjecture Without Numerical Concepts

Andrew Gleibman

2023

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An algorithm for prime numbers

thomas mcclure

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Erdős, Klarner, and the 3x + 1 Problem

Jeffrey Lagarias

The American Mathematical Monthly, 2016

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Bounds for the 3x+1 problem using difference inequalities

Ilia Krasikov

Acta Arithmetica, 2003

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A Novel Theoretical Framework Formulated for Information Discovery from Number System and Collatz Conjecture Data

Michael A Idowu

Procedia Computer Science, 2015

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The 3n ± p Conjecture: A Generalization of Collatz Conjecture

Florentin Smarandache

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A PROOF OF THE COLLATZ CONJECTURE

Allan J R Menezes

A PROOF OF THE COLLATZ CONJECTURE, 2024

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Some natural generalizations of the Collatz Problem

Walter Carnielli

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Proof of the Collatz Conjecture

Henok Tadesse

Henok Tadesse, 2023

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Automated Search for Conjectures on Mathematical Constants using Analysis of Integer Sequences

Yoav Harris

arXiv (Cornell University), 2022

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